Jacquet Modules of Principal Series Generated by the Trivial $K$-Type

Noriyuki Abe

doi:10.2977/prims/1231263783

JournalsprimsVol. 44, No. 4pp. 1169–1197

Jacquet Modules of Principal Series Generated by the Trivial $K$ -Type

Noriyuki Abe
Hokkaido University, Sapporo, Japan

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Abstract

We propose a new approach to the study of the Jacquet module of a HarishChandra module of a real semisimple Lie group. Using this method, we investigate the structure of the Jacquet module of a principal series representation generated by the trivial $K$ -type.

Cite this article

Noriyuki Abe, Jacquet Modules of Principal Series Generated by the Trivial $K$ -Type. Publ. Res. Inst. Math. Sci. 44 (2008), no. 4, pp. 1169–1197

DOI 10.2977/PRIMS/1231263783